Multirate extrapolation methods for differential equations with different time scales
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Publication:678115
DOI10.1007/BF02684438zbMath0891.65083OpenAlexW1488765129MaRDI QIDQ678115
Christian Lubich, Christian Engstler
Publication date: 2 August 1998
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02684438
error estimatesnumerical experimentsRichardson extrapolationexplicit Euler methodmultiple time steppingmultirate extrapolation methods
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
- Multirate linear multistep methods
- Order and stepsize control in extrapolation methods
- Dense output for extrapolation methods
- Multirate ROW methods and latency of electric circuits
- Dangers of multiple time step methods
- Solving Ordinary Differential Equations I
- Split Runge-Kutta method for simultaneous equations
- Practical Runge–Kutta Processes
- Stability Properties of Backward Euler Multirate Formulas
